Interacting stochastic systems and their limiting behaviour

该项目的重点在于相互作用粒子系统领域，这是概率论的一个活跃研究领域。它的目的是解释许多身体系统的限制行为在大的时候，随着相互作用的组件数量的增长。相互作用粒子系统是复杂现实世界系统的基本模型，在物理学、工程学和生物学的各个领域有着广泛的应用。在这样的系统中出现的大尺度现象通常很难分析，该项目的范围是为潜在的动力学提供与观测兼容的条件。所使用的技术来源于概率论、泛函分析和偏微分方程的研究。

The project's focus lies in the field of interacting particle systems, an activeresearch area in probability theory. Its aim is to explain the limiting behaviourof many body systems at large times and as the number of interactingcomponents grows. Interacting particle systems are basic models of complexreal-world systems with applications in various areas in physics, engineeringand biology. Emergent large scale phenomena in such systems are often difficultto analyze, and the scope of the project is to provide conditions for theunderlying dynamics to be compatible with observations. The techniques usedoriginate from probability theory, functional analysis and the study partialdifferential equations.